Assume a $1,000 face value bond has a coupon rate of 8.5 percent, pays interest semi-annually, and has an eight-year life. If investors are willing to accept a 10 percent rate of return on bonds of similar quality, what is the present value or worth of this bond

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Answer:

Explanation:

In order to calculate he present value or worth of this bond we woulñd have to make the following calculations:

Face value (FV) $  1,000.00

Coupon rate 8.50%

Number of compounding periods per year 2

Interest per period (PMT) $ 42.50

Number of years to maturity 8

Number of compounding periods till maturity (NPER) 16

Market rate of return/Required rate of return per period (RATE) 5.00%

Therefore, Bond price= PV(RATE,NPER,PMT,FV)*-1

Bond present worth=$918.72

The present value or worth of this bond is $918.72

The present value of this bond is $572.

Data and Calculations:

N (# of periods) = 16 (8 years x 2) or semi-annually

I/Y (Interest per year) = 8.5%

PMT (Periodic Payment) = 50

Face Value of bond = $1,000

Acceptable rate of return = 10%

Semi-annual interest = $50 ($1,000 x 10% x 1/2)

Results:

The present value of the bond = $572.02  

The sum of periodic payments = $800.00 ($50 x 16)

Total Interest = $227.98

Thus, the present value of the bond is $572.

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